Estimating products, step by step

Estimating a product means rounding each number to the nearest ten, then multiplying.

The question

98 × 67

98×67
100×67
100×70
7000
  1. Do not work it out exactly. Round each number first. 98 is nearer 100 than 90, so to the nearest ten it becomes 100.
  2. 67 is nearer 70 than 60, so to the nearest ten it becomes 70.
  3. Now it is easy enough to do in your head: 100 × 70 = 7000.
  4. The exact answer is 6566, so the estimate of 7000 is 434 away. Close enough to catch a wrong answer with, and you did it in your head.

How it works.

  1. 01

    Do not work it out exactly. Round each number first. 98 is nearer 100 than 90, so to the nearest ten it becomes 100.

  2. 02

    67 is nearer 70 than 60, so to the nearest ten it becomes 70.

  3. 03

    Now it is easy enough to do in your head: 100 × 70 = 7000.

  4. 04

    The exact answer is 6566, so the estimate of 7000 is 434 away. Close enough to catch a wrong answer with, and you did it in your head.